# Look this carefully

Algebra Level 5

Let $$a, b$$ and $$c$$ be the distinct roots of the polynomial $$P(x) = x^3-􀀀10x^2 +x􀀀-2015$$. If the cubic polynomial $$Q(x)$$ is monic and has distinct roots $$bc-􀀀a^2, ca-􀀀b^2$$ and $$ab-c^2$$, what is the sum of the coefficients of $$Q(x)$$?

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